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Finding the Fourth Proportional to 27,530.46, 41,295.52 and 7,809.02

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Solution

The fourth proportional to 27,530.46, 41,295.52 and 7,809.02 is: 11,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.46 : 41,295.52 = 7,809.02 : x
  2. Step 2: Convert to fraction form
    27,530.46/41,295.52 = 7,809.02/x
  3. Step 3: Cross multiply
    27,530.46x = 41,295.52 × 7,809.02
  4. Step 4: Simplify right side
    27,530.46x = 322,477,541.59
  5. Step 5: Solve for x
    x = 322,477,541.59/27,530.46
  6. Step 6: Final answer
    x = 11,713.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.